Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular 9-gon, one at each vertex, is ____ the sum of the measures of the exterior angles of a regular 6-gon, one at each vertex.
A. cannot tell
B. less than***
C. greater than
D. equal to
No.
http://www.google.com/#q=exterior+angles+of+a+polygon
equal to
Yes, equal to.
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To determine the sum of the measures of the exterior angles of a regular polygon, we can use the formula: sum = (n - 2) * 180 degrees. In this formula, 'n' represents the number of sides of the polygon.
For a regular 9-gon, the sum of the exterior angles would be (9 - 2) * 180 = 7 * 180 = 1260 degrees.
For a regular 6-gon, the sum of the exterior angles would be (6 - 2) * 180 = 4 * 180 = 720 degrees.
Now, we can compare the two sums:
The sum of the exterior angles of the regular 9-gon (1260 degrees) is greater than the sum of the exterior angles of the regular 6-gon (720 degrees).
Therefore, the sum of the measures of the exterior angles of a regular 9-gon, one at each vertex, is greater than the sum of the measures of the exterior angles of a regular 6-gon, one at each vertex.
So, the answer is C. greater than.